- 8*p - 1/4*p**3.
-(p - 4)**2*(p - 2)/4
Suppose -3*a - 5*k = -16, 5*k + 25 = 4*a + 27. Suppose 4*g = 5*w + 16, 3*g - 12 = -w - 2*w. What is z in 0 - 3/4*z**g - 3/4*z**3 + 3/4*z + 3/4*z**a = 0?
-1, 0, 1
Let y(x) be the first derivative of 4*x**5/15 - 35*x**4/3 - 176*x**3 - 351. Factor y(h).
4*h**2*(h - 44)*(h + 9)/3
Let i(m) be the first derivative of -50 + 0*m**2 + 5/3*m**3 + 0*m. Factor i(q).
5*q**2
Let x(p) be the second derivative of 197*p**4/18 - 185*p**3/36 - p**2/4 - 1651*p. Factor x(l).
(4*l - 1)*(197*l + 3)/6
Let i be 18*-2*2/(-6). Factor -8*d**2 + i*d**3 + 24*d**3 - 72 - 147*d - 9*d + 8*d**4.
4*(d - 2)*(d + 3)**2*(2*d + 1)
Suppose -1357*z + 72 = -1353*z. Suppose 3*o + s - 9 = 0, 4*o + 21*s - 17 = z*s. Factor -4/3 - 80/9*c**o + 62/9*c.
-2*(5*c - 2)*(8*c - 3)/9
Find h, given that -3128/15*h - 3136/15 + 2/15*h**3 - 776/15*h**2 = 0.
-2, 392
Suppose -51/2*h**2 - 30 + 9/2*h**3 - 117/2*h + 3/2*h**4 = 0. What is h?
-5, -1, 4
Let 341*r - 2*r**5 + 2427*r - 960*r**2 + 0*r**5 - 334*r**4 + 730*r**2 + 2052*r**3 - 3906*r**2 = 0. Calculate r.
-173, 0, 2
Let d(i) = 42*i**2 - 90*i + 44. Suppose -102*o + 99*o = -9. Let k(j) = -j**3 + 43*j**2 - 92*j + 44. Let s(f) = o*d(f) - 2*k(f). Factor s(u).
2*(u - 1)**2*(u + 22)
Let i = -113/145 - -2401/290. Factor 0 - 25/2*g - 1/10*g**4 - i*g**2 - 3/2*g**3.
-g*(g + 5)**3/10
Let j(r) be the first derivative of 2*r**6/3 - 108*r**5/5 + 168*r**4 + 784*r**3/3 + 1459. Find n, given that j(n) = 0.
-1, 0, 14
Let x(a) = a**4 - 12*a**3 + 47*a**2 - 2. Let w(v) = 6*v**2 + v**3 - 7*v**2 - 43 + 42. Let s(p) = 6*w(p) - 3*x(p). Find z such that s(z) = 0.
0, 7
Let u(s) be the third derivative of -s**7/21 + 127*s**6/60 - 49*s**5/3 + 149*s**4/3 - 56*s**3 + 147*s**2 + 7*s. Let u(a) = 0. What is a?
2/5, 2, 21
Let k = 4657/27978 - -1/4663. Let r(s) be the third derivative of -s**3 - 1/60*s**6 + 0 - 7/12*s**4 - 9*s**2 - k*s**5 + 0*s. What is v in r(v) = 0?
-3, -1
Let y(r) be the first derivative of r**5/15 - r**4/3 - 5*r**3/9 + 1179. Factor y(j).
j**2*(j - 5)*(j + 1)/3
Let v(o) be the second derivative of -o**6/600 + 21*o**5/200 - 19*o**4/20 + 61*o**3/3 + 78*o. Let d(f) be the second derivative of v(f). Factor d(p).
-3*(p - 19)*(p - 2)/5
Suppose 0 = 7*o - 101 - 144. Suppose -135*s**2 - 90*s**4 + o*s**4 + 54*s**3 + 40 + 50*s - 284*s**3 + 30*s**5 = 0. Calculate s.
-1, -2/3, 1/2, 4
Let w(r) be the third derivative of r**6/195 - 9*r**5/130 - 7*r**4/156 + r**2 - 533*r. Factor w(p).
2*p*(p - 7)*(4*p + 1)/13
Let a = 1491012 - 4473032/3. Factor -a*r**3 - 64/3*r + 0 + 32/3*r**2.
-4*r*(r - 4)**2/3
Suppose 1150*d = 1143*d - 13 + 90. Let o(f) be the third derivative of 1/16*f**4 + d*f**2 - 1/120*f**5 + 1/420*f**7 - 1/80*f**6 + 0*f**3 + 0 + 0*f. Factor o(a).
a*(a - 3)*(a - 1)*(a + 1)/2
Let z(i) be the third derivative of i**5/180 - 148*i**4/3 + 175232*i**3 + 1566*i**2. Solve z(s) = 0 for s.
1776
Suppose -39*y + 91 = -65. Suppose -12*o + 11*o + y = c, -c + 3*o = 4. Factor 4/11*s - 4/11*s**3 + 2/11*s**4 + 0 - 2/11*s**c.
2*s*(s - 2)*(s - 1)*(s + 1)/11
Factor 91*b**3 - 1/2*b**4 - 270*b**2 - 179/2 + 269*b.
-(b - 179)*(b - 1)**3/2
Suppose 13 = -3*p + 4*h, 5*h = p + 35 - 16. Let u(l) = l**2 - 5*l + 4. Let j be u(p). Determine w, given that j*w + 2/3*w**2 + w**3 + 0 + 1/3*w**4 = 0.
-2, -1, 0
Let z = -3730193/7 + 532885. Factor -10/7*v**2 - 6/7 - z*v**3 - 2*v.
-2*(v + 1)**2*(v + 3)/7
Let l(d) be the second derivative of -d**6/150 - 83*d**5/100 + 43*d**4/10 - d + 38. What is i in l(i) = 0?
-86, 0, 3
Let d(o) = -o**2 + 80*o - 754. Let i be d(11). Let c(r) be the first derivative of 1/33*r**3 - 1/55*r**i + 20 + 0*r - 1/22*r**2 + 1/44*r**4. Factor c(t).
-t*(t - 1)**2*(t + 1)/11
Let m(t) be the third derivative of t**6/120 - t**4/2 + 67*t**3/6 + 61*t**2. Let l(s) be the first derivative of m(s). Solve l(c) = 0.
-2, 2
Determine d, given that -4*d**3 - 5246*d + 126*d - 256*d**2 + 59185818 - 59218586 = 0.
-32, -16
Let v(t) be the second derivative of -t**7/126 - t**6/9 - 2*t**5/5 + 8*t**4/9 + 64*t**3/9 + 1724*t + 1. What is z in v(z) = 0?
-4, 0, 2
Let l(m) = -2*m**3 - 76*m**2 - 141*m + 8. Let z be l(-2). Factor -4/5 - h - 1/5*h**z.
-(h + 1)*(h + 4)/5
Let q be ((-5)/(-5))/(1/4). Let c(z) = -56*z + 80. Let x be c(1). Let -14*p**2 + 40*p**2 + x*p + 7*p**4 + 12*p**3 - 5*p**q + 8 = 0. Calculate p.
-2, -1
Let k be 20 - 9 - (4 - -3). Let v(j) be the first derivative of 2/15*j**5 + 0*j**3 + 0*j**k + 0*j**2 + 0*j - 21. Find b such that v(b) = 0.
0
Let a = 15749/1445 + -32017942/2720935. Let u = -3/269 - a. Factor -u*z**2 + 4/7*z + 0 + 2/7*z**3.
2*z*(z - 2)*(z - 1)/7
Suppose 23 - 17 = 3*i - 0. Let j(t) be the second derivative of 0 - 2/3*t**3 + 17*t - 1/9*t**4 - 4/3*t**i. Suppose j(a) = 0. What is a?
-2, -1
Let a(i) = 2*i**2 - 69*i - 31. Let v = 414 - 379. Let g be a(v). Let 0 + 4/5*p**3 + 2/5*p**2 + 0*p + 2/5*p**g = 0. What is p?
-1, 0
Let x(t) = t**2 + t - 5. Let o be x(8). Let z = o + -65. Solve -9*c**2 + 25*c**3 - c**z - 188*c**4 + 168*c**4 + 5*c**5 = 0.
0, 1, 2
Suppose 1312 = -2*z + 4*f, -f + 1964 = -3*z + 3*f. Let r = -2603/4 - z. Factor -1/4 - r*a - a**2.
-(a + 1)*(4*a + 1)/4
Let p be 549/(-183)*6/(-27). Find b such that -3*b**2 + 2/3*b + 8/3 - p*b**3 + 1/3*b**4 = 0.
-2, -1, 1, 4
Let l(b) = -160*b - 320. Let x be l(-2). Let d(z) be the second derivative of 3/5*z**5 + 0*z**2 + 1/15*z**6 + 2*z**3 + 11/6*z**4 - z + x. Solve d(q) = 0.
-3, -2, -1, 0
Let n(q) be the first derivative of -76/21*q**3 - 55 - 144/7*q + 33/14*q**4 + 24/35*q**5 + 1/21*q**6 - 132/7*q**2. What is c in n(c) = 0?
-6, -1, 2
Let g(l) be the second derivative of 3/7*l**2 + 4/21*l**3 + 1/42*l**4 + 94*l + 0. Factor g(h).
2*(h + 1)*(h + 3)/7
Factor 7995*a - 34*a**2 - 4*a**3 - 7879*a + 146*a**2.
-4*a*(a - 29)*(a + 1)
Let i(p) be the first derivative of -p**3/3 - 168*p**2 - 335*p + 2654. Let i(u) = 0. Calculate u.
-335, -1
Let c(x) = -x**2 - 64*x - 495. Let a(p) = 7*p - 16. Let v be a(1). Let f be c(v). Factor -1/3*s**4 - 1/6*s**5 - 1/6*s**3 + f*s + 0*s**2 + 0.
-s**3*(s + 1)**2/6
Let d(n) be the first derivative of -4*n**3/21 + 2176*n**2/7 - 1183744*n/7 + 1497. Factor d(r).
-4*(r - 544)**2/7
What is r in 7330*r + 3576*r - 96588*r**2 - 50619*r + 29092*r**3 + 2912*r**4 - 13855*r - 6912 + 64*r**5 = 0?
-24, -1/4, 3
Suppose -6945*y = -6917*y - 140. Let l(r) be the first derivative of -5/3*r**3 + y + 5/4*r**4 - 5/2*r**2 + 5*r. Factor l(d).
5*(d - 1)**2*(d + 1)
Find r, given that -968/7 + 9/7*r**4 - 1375/7*r + 3/7*r**3 - 59*r**2 = 0.
-11/3, -1, 8
Let b be (-572)/(-9) - 4/(-9). Factor -57*o + o - b + 3*o**3 - 68*o**2 - o**3 + 60*o**2.
2*(o - 8)*(o + 2)**2
Let w = -4773/7 + 683. Let f = 87/70 - w. Factor -6/5*y**2 - f*y**4 - 3/10 + y + 3/5*y**3.
-(y - 3)*(y - 1)**3/10
Let r(d) be the second derivative of 0 - 19/6*d**4 - 28/3*d**3 - 12*d**2 + 73*d + 1/15*d**6 - 1/5*d**5. Find h such that r(h) = 0.
-2, -1, 6
Let q = 737603/2 - 368801. Solve 1 - q*n**3 + 2*n**2 - 5/2*n = 0 for n.
1, 2
Let b = -594529 + 594531. Suppose -15/4*h**b - 3 + 6*h + 3/4*h**3 = 0. Calculate h.
1, 2
Factor 2*p**3 + 16*p**2 - 26479 + 164*p + 25759 + 39*p**2 + 39*p**2.
2*(p - 2)*(p + 4)*(p + 45)
Suppose -192*l = -225*l + 1122. Let t be (-7 + l/6)*(-2)/8. Factor 5*p - 3 + t*p**3 - 7/3*p**2.
(p - 3)**2*(p - 1)/3
Let h(b) = 4*b**2 - 41*b + 13. Let i be h(10). What is n in -22*n**2 + 5*n**2 + 5*n**4 + 6*n + 6*n**4 + 16*n**4 + 6*n**i - 10*n**2 - 12*n**5 = 0?
-1, 0, 1/4, 1, 2
Let i(q) be the second derivative of q**5/60 + 683*q**4/9 + 932978*q**3/9 - 85*q + 19. Factor i(n).
n*(n + 1366)**2/3
Suppose -5*q - 3*k + 40 = 0, 2*q + 3*q + 2*k = 40. Let l be (0 - 9/(-6))/(3/q). Factor s + 2*s - l + 2*s + 3*s - 4*s**2.
-4*(s - 1)**2
Factor 4/7*t**2 - 304/7 + 144/7*t.
4*(t - 2)*(t + 38)/7
Let k(d) be the first derivative of -d**3/3 - 3*d**2 - 6*d + 303. Let l be k(-4). Factor 8/7*p**l + 1/7*p**3 + p + 0.
p*(p + 1)*(p + 7)/7
Let v(k) be the second derivative of k**5/100 + k**4/40 - k**2/2 + k - 4. Let m(g) be the first derivative of v(g). Factor m(l).
3*l*(l + 1)/5
Let z(u) = 3*u**2 - 633*u + 6602. Let b be z(11). Find a, given that 4/9*a**3 + 4/3*a + 4/9 + 4/3*a**b = 0.
-1
Let k(y) be the first derivative of 5*y**6/6 + y**5/2 + 23*y - 54. Let m(r) be the first derivative of k(r). Find b such that m(b) = 0.
-2/5, 0
Let x(z) = 31*z**3 - 95*z**2 + 26*z - 56. Let y b