
Suppose -z + 2*z = 7. Suppose -2*j = -4*o + 8, -5*o - 5*j - 4 = -14. Suppose -25 + z - 36*t + 20*t + 2*t**o + 0*t**2 = 0. Calculate t.
-1, 9
Suppose m - 50 = 2*t - 14, 0 = 5*m + 5*t - 180. Factor 18*d**3 - 84*d - 5*d**3 - 3*d**4 + 38*d**2 + m - 19*d**3 + 19*d**2.
-3*(d - 2)*(d - 1)**2*(d + 6)
Let f(o) = 2*o**5 + o**4 + o**3 + o**2 + 2*o + 2. Let p(t) = 3*t**5 + 427*t**4 - 1203*t**3 + 957*t**2 - 70*t - 132. Let v(j) = -2*f(j) - p(j). Factor v(s).
-(s - 1)**3*(s + 64)*(7*s + 2)
Factor 241*d**2 - 55*d**4 - 114*d + 65*d**4 - 5*d**4 + 25*d**3 + 83*d**3.
d*(d + 3)*(d + 19)*(5*d - 2)
Let p(t) be the first derivative of -2*t**5/65 - 53*t**4/13 - 4946*t**3/39 + 17808*t**2/13 - 56448*t/13 + 6307. Solve p(f) = 0.
-56, 3
Let s(z) = 2*z**2 + 63*z - 167. Let l(b) = 5*b**2 + 185*b - 500. Let q(o) = 3*l(o) - 10*s(o). Solve q(f) = 0.
-17, 2
Let o(q) be the first derivative of -q**4/14 + 76*q**3/21 - 256*q**2/7 + 960*q/7 - 1101. Factor o(d).
-2*(d - 30)*(d - 4)**2/7
Factor 2735716 + s**2 - 398*s - 369*s + 553*s + 1946*s + 1576*s.
(s + 1654)**2
Let p(g) be the first derivative of g**4/42 - 10*g**3/21 + 125*g + 16. Let n(q) be the first derivative of p(q). Solve n(z) = 0.
0, 10
Let j(a) = -3*a**2 + 7*a - 34. Let z(f) = -4*f**2 + 9*f - 51. Let p(u) = 3*j(u) - 2*z(u). Factor p(m).
-m*(m - 3)
Let d(v) be the first derivative of -v**6/21 + 94*v**5/35 - 51*v**4 + 6080*v**3/21 + 8704*v**2/7 - 49152*v/7 + 1617. Determine u so that d(u) = 0.
-3, 2, 16
Let t(b) be the third derivative of 0*b**3 - 7/8*b**4 - 6*b - 7*b**2 - 3/8*b**5 + 0 - 1/80*b**6. Factor t(w).
-3*w*(w + 1)*(w + 14)/2
Find r such that -204/7*r - 8 - 24*r**2 - 20/7*r**3 = 0.
-7, -1, -2/5
Let g(l) be the first derivative of -2*l**5/25 - l**4/5 + 2*l**2/5 + 2*l/5 - 882. Solve g(p) = 0.
-1, 1
Suppose -2*z - 2*m + 63 = -7*m, -5*z + 147 = -2*m. Factor -20*j**4 - 7*j**4 - 12*j**2 - 2*j**3 + z*j**4.
2*j**2*(j - 3)*(j + 2)
Find w, given that -52*w + 25*w**3 + 7/2*w**4 - 8 + 63/2*w**2 = 0.
-4, -1/7, 1
Let z(n) be the first derivative of 3*n**5/25 - 27*n**4/10 - 61*n**3/5 - 63*n**2/5 + 5539. Let z(f) = 0. What is f?
-2, -1, 0, 21
Find w, given that 2391949 - 57*w**3 + 167*w**3 - 57600*w - 58*w**3 + 720*w**2 - 855949 - 55*w**3 = 0.
80
Let u(w) be the second derivative of w**4/30 + 68*w**3/15 - 444*w**2/5 - 3196*w. Solve u(n) = 0 for n.
-74, 6
Let g(s) = s**2 + 1. Let o(j) be the third derivative of -j**5/12 - 23*j**4/6 - 1061*j**3/6 - 103*j**2. Let q(w) = -6*g(w) - 2*o(w). Let q(i) = 0. What is i?
-23
Let g(s) be the second derivative of 2*s - 4/3*s**3 - 1/180*s**5 + 4 + 6*s**2 + 5/36*s**4. Factor g(z).
-(z - 6)**2*(z - 3)/9
Suppose 2*r - 2 = k, 3*r - 3 = 2*k - 2. Let l be (-3)/r - 4 - (-143)/26. Let -m - 2*m**3 + 0 - 5/2*m**2 - l*m**4 = 0. What is m?
-2, -1, 0
Let z = 1781/91140 - 3/6076. Let n(u) be the third derivative of 4*u**2 + 0 + 1/420*u**6 + 0*u - z*u**5 + 0*u**3 + 1/21*u**4. Factor n(p).
2*p*(p - 2)**2/7
Let p(t) be the second derivative of 2*t**4/15 - 1166*t**3/15 - 584*t**2/5 - 5845*t. What is v in p(v) = 0?
-1/2, 292
Let d be -1 - 1653/(-171)*(-12)/(-28). Determine u so that -d*u**2 + 2/7*u**4 + 4/7*u**3 + 0 - 24/7*u = 0.
-4, -1, 0, 3
Suppose -15*r + 96 = 21. Suppose 0 = 5*y + r*x - 5, -1 = -2*y - 0*x - 3*x. Determine l so that 4*l**3 - 2*l**4 + 3*l**2 + 12*l**2 - 12*l - 5*l**y = 0.
-2, 0, 1, 3
Let j(v) be the third derivative of -2/7*v**7 - 19*v**2 + 1/112*v**8 + 17/8*v**4 + 0*v + 1 - 13/5*v**5 + 27/20*v**6 + 0*v**3. Factor j(w).
3*w*(w - 17)*(w - 1)**3
Find p such that -21*p**3 + 2553*p**2 + 6*p**3 - 5*p**4 + 18*p + 10 - 2558*p**2 - 3*p = 0.
-2, -1, 1
Let y(u) be the third derivative of u**7/126 + 7*u**6/6 + 83*u**5/2 - 1575*u**4/2 + 10125*u**3/2 + u**2 - 440. Determine d, given that y(d) = 0.
-45, 3
Let b be (22900/(-345))/5*2514/(-2980). Let j = b - -2/3427. Find k, given that 16/5*k - j*k**2 - 26/5*k**4 + 0 + 12*k**3 + 4/5*k**5 = 0.
0, 1/2, 2
Let o(y) = 20*y + 146. Let f be o(-13). Let u = f + 1712/15. Factor -u + 4/15*w - 2/15*w**2.
-2*(w - 1)**2/15
Let z(m) be the first derivative of m**6/18 + 13*m**5/24 + 5*m**4/8 + 4*m**3/3 + 14. Let i(f) be the third derivative of z(f). Suppose i(a) = 0. Calculate a.
-3, -1/4
Let i(b) be the first derivative of -b**5/110 + 2*b**4/33 + b**3/33 - 4*b**2/11 - 69*b + 6. Let s(j) be the first derivative of i(j). Factor s(z).
-2*(z - 4)*(z - 1)*(z + 1)/11
Suppose 968*h**3 - 18 - 24 - 41*h - 967*h**3 + 2*h**2 = 0. What is h?
-7, -1, 6
Let t = -24 + 29. Suppose -5*g = 2*j - 4*j + 9, -j = -t*g - 7. Factor -15 - 25*x**2 + 35*x - 5*x**3 + 9*x**3 + 3*x**3 - j*x**3.
5*(x - 3)*(x - 1)**2
Let f(d) = 0 + 12 + 7*d - 3 - 14*d**3 + 7*d**3 + 3*d**3. Let h be f(-2). Factor -h*b + 243/2 + 3/2*b**2.
3*(b - 9)**2/2
Suppose 171*r = 55*r - r + 234. Factor -13/4*m**3 - 51/4*m**r + 5/4*m**4 - 43/4*m - 5/2.
(m - 5)*(m + 1)**2*(5*m + 2)/4
Factor -1/12*j**2 + 5/3*j + 13.
-(j - 26)*(j + 6)/12
Let y(t) = 33*t + 18. Let x be y(1). Determine h so that -2*h + 17*h**3 - 22*h - x*h**3 - 7*h**3 - 25*h**3 - 84*h**2 - 15*h**4 = 0.
-2, -2/5, 0
Suppose o**2 - 17*o**2 - 8*o**2 - 1902*o**5 - 16*o**4 - 4*o**4 + 46*o**3 + 1900*o**5 = 0. Calculate o.
-12, 0, 1
Let p = -1221 + 1221. Let f(s) be the third derivative of 1/3*s**5 + 0*s**3 + p*s + 0 - 5/12*s**6 - 1/42*s**7 + 5/336*s**8 + 5*s**4 + 26*s**2. Factor f(n).
5*n*(n - 3)*(n - 2)*(n + 2)**2
Suppose 226/7*m - 2/7*m**2 - 32 = 0. What is m?
1, 112
Suppose -4*v = 5*t + 81 - 252, -5*t = -v + 49. Suppose -5*o - v = -16*o. Let -62*n - 32*n**3 + 6*n**4 - 8*n**4 - 338*n + o*n**4 + 180*n**2 + 250 = 0. What is n?
1, 5
Let z(i) = -3*i**2 + 2 + 2*i**2 - i**3 + 39*i - 37*i. Let p be z(0). Factor -k**2 + 5*k**p + 11*k + 4 - 3*k.
4*(k + 1)**2
Let u(o) = 3*o**4 + 66*o**3 - 52*o**2 - 64*o. Let a(t) = -9*t**3 - t**2 - t. Let z(i) = 8*a(i) + u(i). Suppose z(l) = 0. What is l?
-2, 0, 6
Let n be ((-2)/(-3))/((-4)/(-12)). Suppose -3*m + 83*r - 86*r + 21 = 0, 4*m = -19*r + 13. Determine z, given that 12*z**n + 4/3*z**4 - m*z**3 + 0*z + 0 = 0.
0, 3
Let x(n) = -2*n**4 + 150*n**3 + 1548*n**2 + 4468*n + 3072. Let j(s) = -148*s**3 - 1548*s**2 - 4472*s - 3072. Let d(z) = 3*j(z) + 2*x(z). Factor d(l).
-4*(l + 1)*(l + 3)*(l + 16)**2
Let t be ((-6)/(-84)*44)/(12/(-9426)). Let g = t - -2469. What is k in -g*k - 2/7*k**2 + 4/7 = 0?
-2, 1
What is s in s**5 + 371*s**4 + 219 + 214 - 1064*s + 419*s**2 - 398*s**4 - 80*s**2 + 163*s**3 + 155 = 0?
-3, 1, 14
Suppose 1122*b = 4398 + 1212. Find m, given that -29/7*m**3 + 0*m + 5/7*m**2 + 0 + 40/7*m**4 - 16/7*m**b = 0.
0, 1/4, 1, 5/4
Let c(q) = 7701*q - 377349. Let n be c(49). Suppose n - 44/7*f**3 + 0*f + 4/7*f**4 - 48/7*f**2 = 0. What is f?
-1, 0, 12
Let t(a) be the first derivative of a**4/6 - 19*a**3/3 - 15*a - 49. Let c(g) be the first derivative of t(g). Determine y, given that c(y) = 0.
0, 19
Let p(o) be the first derivative of o**5/5 - 2*o**4/3 - 2*o**3/3 + 4*o**2 - 39*o + 3. Let h(d) be the first derivative of p(d). Find j, given that h(j) = 0.
-1, 1, 2
Let g(k) be the second derivative of -1/24*k**4 - 1/200*k**5 + k + 0*k**2 + 22 - 1/15*k**3. Solve g(b) = 0.
-4, -1, 0
Let j(d) = 20*d**5 - 815*d**4 + 8560*d**3 - 4225*d**2 - 17605*d - 4000. Let v(c) = c**3 - 3*c**2 - c. Let a(z) = -j(z) + 5*v(z). Find i such that a(i) = 0.
-1, -1/4, 2, 20
Let z be -8 - 12913/(-814) - (72/(-33))/(-6). Find f such that 3/2*f**4 + 51/2*f - z*f**3 + 18 - 3/2*f**2 = 0.
-1, 3, 4
Let r(l) = 39*l**2 + 186*l - 366. Let z(x) = -11*x**2 - 53*x + 105. Let n be 11/2 - ((-15)/(-10))/3. Let c(a) = n*r(a) + 18*z(a). Suppose c(i) = 0. Calculate i.
-10, 2
Let y(q) = -17*q - 129. Let z be y(-9). What is j in 35472*j**2 + 8*j**3 - z - 35448*j**2 + 44*j**3 - 52*j = 0?
-1, -6/13, 1
Let x be (-4)/58 + 63 + (-247214)/3944. Factor 1/2*y**3 - 9/4*y + 3*y**2 - x*y**5 - y**4 + 0.
-y*(y - 1)**2*(y + 3)**2/4
Let l(r) = -r**3 - 22*r**2 + r + 9. Let c be l(-22). Let j(p) = p**3 + 11*p**2 - 25*p + 15. Let t be j(c). Factor 10*q**3 - 24*q**5 - t*q**4 + 4*q**4 - 8*q**3.
-2*q**3*(3*q - 1)*(4*q + 1)
Factor -1960*i - 175*i**2 - 165*i**3 + 322*i**3 - 4240 - 162*i**3 - 2620.
-5*(i + 7)*(i + 14)**2
What is a in -240/13 + 292/13*a - 50/13*a**2 - 2/13*a**3 = 0?
-30, 1, 4
Let g(k) be the second derivative of -1/10*k**5 + 6*k + 0*k**2 + 25/3*k**3 - 22 + 4*k**4. Suppose g(y) = 0. Calculate y.
-1, 0, 