t h(x) = -2*x**2 - 2*x + 1. Let r(f) = -d(f) - 3*h(f). Solve r(t) = 0 for t.
-878
Let t be (191*2/24)/(95/950). Let o = t - 317/2. Factor -8/3*c - o*c**2 + 10/3.
-2*(c - 1)*(c + 5)/3
What is b in -42*b**2 + 8 + b**4 + 11*b - 11*b + 11*b**3 + 4*b + 48 = 0?
-14, -1, 2
Let j(q) be the first derivative of 4*q**3/9 + 152*q**2/3 + 5740*q/3 - 5459. Factor j(x).
4*(x + 35)*(x + 41)/3
Suppose 19*g**3 + 4337*g**4 + 31*g**3 + 242*g**5 - 4117*g**4 = 0. What is g?
-5/11, 0
Let g(j) be the first derivative of 1/5*j**3 + 12/5*j**2 + 148 + 21/5*j. Suppose g(f) = 0. Calculate f.
-7, -1
Let p = -110/23 - -949/184. Let u(t) be the third derivative of p*t**3 + 1/320*t**6 + 0*t - 15*t**2 - 5/64*t**4 + 0 - 1/80*t**5. Suppose u(f) = 0. What is f?
-2, 1, 3
Let o(b) be the third derivative of b**6/600 + b**5/5 + 27*b**4/10 - b**2 + 1128*b - 2. Determine c so that o(c) = 0.
-54, -6, 0
Factor 1/7*b**2 + 6/7*b + 8/7.
(b + 2)*(b + 4)/7
Suppose r + 2 = -5*p - 11, -5*p - 11 = 2*r. Let q(h) = -4*h**3 - 2*h**2 - 9*h + 2. Let k be q(p). What is l in l**2 - 96*l - 37 - 5*l**2 - 658 + k = 0?
-12
Let 1/2*a**4 - 3/2*a**2 + 3/2*a**3 - 3 - 11/2*a = 0. What is a?
-3, -1, 2
Solve 1978/3*d + 2*d**2 - 220 = 0 for d.
-330, 1/3
Solve -2/3*z**5 + 0 + 44/3*z + 2*z**3 - 22/3*z**4 + 70/3*z**2 = 0 for z.
-11, -1, 0, 2
Let p(m) = -15*m**4 + 6*m**4 + 2*m**2 + m**4 + 9*m**4 + 1. Let o(g) = 2*g**5 + 9*g**4 + 4*g**3 - 6*g**2 - 6*g + 1. Let c(j) = o(j) - p(j). Factor c(z).
2*z*(z - 1)*(z + 1)**2*(z + 3)
Let x(c) be the third derivative of -c**6/30 + 83*c**5/60 - 131*c**4/24 - 19*c**3/3 + 254*c**2. Factor x(z).
-(z - 19)*(z - 2)*(4*z + 1)
Let w(m) be the second derivative of 0*m**2 + 2/3*m**3 + 3*m - 14 - 1/3*m**4. Let w(x) = 0. Calculate x.
0, 1
Suppose 591*w**2 + 777*w**2 - 128*w**2 + 805*w**2 + 335*w**4 - 619*w - 180 - 1615*w**3 + 34*w = 0. Calculate w.
-12/67, 1, 3
Determine v so that 84/5*v**3 - 2*v**4 - 182/5*v**2 - 1/5*v**5 - 48/5 + 157/5*v = 0.
-16, 1, 3
Let z = 442 + -437. Suppose -3 = -3*a + 3*d + 6, 12 = z*a - 4*d. Factor a*p - 2/9*p**5 - 2/9*p**4 + 0 + 2/9*p**3 + 2/9*p**2.
-2*p**2*(p - 1)*(p + 1)**2/9
Let g(v) be the third derivative of -v**5/40 - 17*v**4/16 - 35*v**3/2 - 1445*v**2. Let g(t) = 0. Calculate t.
-10, -7
Let t(q) = -q**5 + q**4 + q**3 - 1. Let r(w) = 10*w**5 + 14*w**4 + 22*w**3 + 12*w**2 + 6. Let a(l) = r(l) + 6*t(l). Determine d so that a(d) = 0.
-3, -1, 0
Let p(n) be the first derivative of n**3/9 - 83*n**2 + 20667*n + 224. Find f, given that p(f) = 0.
249
Let d(i) be the second derivative of 1/30*i**6 + 2/3*i**3 - 19 + 2/3*i**4 + 0*i**2 + 3*i + 1/4*i**5. Determine h, given that d(h) = 0.
-2, -1, 0
Let u(a) be the third derivative of -a**7/1575 - a**6/75 + a**5/450 + a**4/15 - a**2 - 969*a. What is g in u(g) = 0?
-12, -1, 0, 1
Factor 6*s**2 + 10*s + 0 + 1/2*s**3.
s*(s + 2)*(s + 10)/2
Let q(j) = -10*j + 28. Let n be q(7). Let b be (-222)/n - 4/14. Suppose 3*m**b - 7*m + 3 + 8*m**3 - 2*m**3 - 2*m + 0*m**3 + 6*m**2 - 9*m**4 = 0. Calculate m.
-1, 1
Factor 107*f**2 - 4*f**2 - 30*f + 69*f**3 + 4*f**4 - 2*f**3.
f*(f + 2)*(f + 15)*(4*f - 1)
Solve 0 - 152/5*y - 148/5*y**2 + 4/5*y**3 = 0 for y.
-1, 0, 38
Determine l, given that -992*l + 64 - 2508*l**2 - 697*l**2 + 7049*l**2 = 0.
4/31
Let f(i) be the first derivative of -i**5/5 + i**4/4 + i**2 - 18. Let a(h) = 2*h**4 + 36*h**3 + 14*h**2 + 12*h. Let z(j) = a(j) - 8*f(j). Factor z(m).
2*m*(m + 1)*(m + 2)*(5*m - 1)
Suppose 4*x - 13 = -3*c, 10 = -5*x - c + 6*c. Let f be 101/4 - ((-3)/4 + x). Solve -9*v**2 + 2*v**2 + 2*v**2 - 23 - 7 - f*v = 0.
-3, -2
Let w = -25229703/4565 + 60814/11. Let r = w + 2/83. Factor 0 + 0*z - 3/5*z**3 + r*z**2.
-3*z**2*(z - 3)/5
Suppose 158 = l - 7. Determine t, given that 2*t**3 - 14*t**2 + 2 - 80*t - 81*t + l*t + 6*t**3 = 0.
-1/4, 1
Suppose -3*k - 3*g = -21, 3 = 8*g - 5*g. Suppose -2*d = -3*u - 3*d + 4, -2*u + d = -k. Let 0 - 10/9*f**3 + u*f**2 + 4/9*f = 0. Calculate f.
-1/5, 0, 2
Let s be (-74700)/(-32370) - 17826/(-117). Factor 4/3*t**2 + 13456/3 + s*t.
4*(t + 58)**2/3
Let a(v) be the third derivative of -1/14*v**5 + 15 + 0*v - 1/210*v**6 + 4/21*v**4 - 4/21*v**3 + 1/147*v**7 - 2*v**2. Let a(r) = 0. Calculate r.
-2, 2/5, 1
Let q(w) be the third derivative of -w**7/210 - 27*w**6/40 - 533*w**5/20 + 1681*w**4/24 + 1640*w**2. Factor q(p).
-p*(p - 1)*(p + 41)**2
Let r(f) be the first derivative of f**8/560 - 3*f**7/140 + f**6/10 - f**5/5 + 5*f**3/3 + 3*f**2/2 + 93. Let x(g) be the third derivative of r(g). Factor x(i).
3*i*(i - 2)**3
Determine t, given that -3869893 + 24178*t**2 + 156*t**3 + 3648052/3*t + 1/3*t**4 = 0.
-157, 3
Let k(i) be the second derivative of -2*i**6/25 + 429*i**5/100 - 276*i**4/5 + 143*i**3/2 + 75*i**2 + 336*i + 1. Determine l, given that k(l) = 0.
-1/4, 1, 10, 25
Let n be (-2)/((-14)/(-6)*20/(-70)). Suppose 33*v**4 + v**3 - 3*v**2 + n*v**5 - 27*v**4 - 4*v**3 - 3*v**2 = 0. What is v?
-2, -1, 0, 1
Let k(o) = -43*o**2 + 416*o - 253. Let r be k(9). Suppose -10*y + r - 1/2*y**3 + 4*y**2 = 0. Calculate y.
2, 4
Suppose -37/3*q**2 - 17*q + 32/3*q**4 + 14/3 + 20*q**3 = 0. Calculate q.
-2, -1, 1/4, 7/8
Let c(u) = 10*u**4 + 22*u**2 - 16*u - 72. Let b(y) = 3*y**4 - y**3 + 2*y. Let o(w) = -4*b(w) + c(w). Factor o(i).
-2*(i - 3)**2*(i + 2)**2
Let o(z) be the second derivative of -z**4/3 + 5*z**3/4 - z - 438. Determine y, given that o(y) = 0.
0, 15/8
Let i(d) be the second derivative of 1/30*d**5 + 8*d**2 + 1/3*d**3 + 0 - 1/6*d**4 - 19*d. Let h(w) be the first derivative of i(w). Factor h(k).
2*(k - 1)**2
Let -949/4*o - 673/4*o**2 - 131/4*o**3 - 102 + 1/4*o**4 = 0. What is o?
-3, -1, 136
Let k(i) be the first derivative of 0*i + 1/30*i**4 - 8/45*i**3 + 1/5*i**2 - 45. Find w, given that k(w) = 0.
0, 1, 3
Determine k, given that 18550/3*k - 43504/9*k**2 + 10060/9*k**3 + 292/9*k**4 - 2500 + 2/9*k**5 = 0.
-75, 1, 2
Let u(t) = -42*t**2 - 1. Let f(h) = 501*h**2 + 1905*h - 1890. Let o(d) = f(d) + 12*u(d). Factor o(z).
-3*(z - 634)*(z - 1)
Let c(d) be the second derivative of 3*d**5/20 - 3*d**4/4 - 11*d**3 + 36*d**2 - 6*d - 232. Solve c(z) = 0 for z.
-4, 1, 6
Let t(h) be the second derivative of 2*h + 1/3*h**3 - 17/36*h**4 - 1/20*h**5 + 0*h**2 + 147. Determine z, given that t(z) = 0.
-6, 0, 1/3
Let p(b) be the second derivative of -3/2*b**5 + 10/3*b**3 - 55*b - 35/12*b**4 + 25/2*b**2 + 0. Factor p(i).
-5*(i + 1)**2*(6*i - 5)
Let s(y) be the first derivative of -2*y**5/15 + 25*y**4 + 202*y**3/3 + 152*y**2/3 - 2862. Determine a, given that s(a) = 0.
-1, 0, 152
Let j(t) be the first derivative of t**4/6 + 64*t**3/9 + 256*t**2/3 - 2938. Solve j(x) = 0.
-16, 0
Let c(y) be the third derivative of 3/20*y**5 - 51*y + 0 + 19/840*y**6 + 2*y**2 + 1/735*y**7 + 9/14*y**3 + 27/56*y**4. Factor c(r).
(r + 3)**3*(2*r + 1)/7
Suppose 4*n = -2*d - 24 + 58, 4*d - 50 = -5*n. Let -n*i - 58*i**2 + 2*i - 16 + 60*i**2 = 0. What is i?
-2, 4
Suppose -15*c + 13*c + 1 - 1 = 0. Let x(a) be the third derivative of -5/4*a**3 + 17*a**2 + c + 1/40*a**5 - 1/4*a**4 + 0*a. Factor x(h).
3*(h - 5)*(h + 1)/2
Let b(q) be the second derivative of -9*q**3 - 1/6*q**4 - q - 22 + 0*q**2. Factor b(o).
-2*o*(o + 27)
Let w(p) be the third derivative of -p**7/280 - p**6/12 - 7*p**5/10 - 3*p**4 - 3*p**3/2 - 45*p**2. Let b(x) be the first derivative of w(x). Factor b(c).
-3*(c + 2)**2*(c + 6)
Let x(l) = -l**3 + 6*l**2 + 4. Let c be x(6). Let w be (16 - 8)*c/16. Factor 0 + 4/7*a**4 - 16/7*a**3 + 16/7*a**w + 0*a.
4*a**2*(a - 2)**2/7
Let t be (-38)/(3/15*-5). Let a = t - 113/3. Let 1/3 + a*s**2 + 2/3*s = 0. Calculate s.
-1
Suppose 6 = 3*k + 9, -4*c - 4*k + 4 = 0. Let 541*g**c + 140*g**5 - 415*g**4 - 50 + 47*g + 49*g**2 + 10 - 25*g**3 - 27*g = 0. Calculate g.
-1, -2/7, 1/4, 2
Let l(u) = -u**3 - 20*u**2 + 186*u - 81. Let x = -1147 + 1120. Let i be l(x). Factor 3/4*m**4 + i*m + 3*m**3 + 0*m**2 + 0.
3*m**3*(m + 4)/4
Let s(d) = 119*d**2 + 153*d + 25. Let q = 67 - 52. Let p(l) = 6 + 30*l**2 - 2*l - 11*l + q*l + 36*l. Let m(x) = -9*p(x) + 2*s(x). Let m(t) = 0. What is t?
-1, -1/8
Let z be ((-32)/(-48))/((-4)/(-18)). Suppose -5*v = -3*v + z*s + 12, v + 4*s = -16. Let 1/2*p**3 + 2*p**2 + v + 0*p = 0. What is p?
-4, 0
Factor 4/3*o**2 + 4/3*o - 1/3*o**3 - 16/3.
-(o - 4)*(o - 2)*(o + 2)/3
Let u be (-4 + 1)*1/(-4). Let v be (124/(48608/(-252)))/((12/(-14))/1). Suppose v*n**5 + 