 m(-5). Solve -7/3*h**4 - 4/3 - 4*h**3 + f*h + 11/3*h**2 = 0.
-2, -1, 2/7, 1
Let n = 156 - 164. Let y(j) = -2*j**4 - 9*j**2 - 5*j - 3. Let w(i) = -5*i**4 - i**3 - 27*i**2 - 15*i - 8. Let o(r) = n*y(r) + 3*w(r). Factor o(z).
z*(z - 5)*(z + 1)**2
Suppose -2*n - 13*n - 10035 = 0. Let s = 2703/4 + n. What is k in 15/4*k**3 + 21/4*k - 3/4*k**4 - 3/2 - s*k**2 = 0?
1, 2
Suppose 5*b - 76*w + 72*w - 680 = 0, -4*b = w - 586. Solve -12*q**2 - 1/3*q**3 - 576 - b*q = 0.
-12
Let l = -62730 - -564572/9. Find q, given that 2/9*q**2 - 4/3 - l*q = 0.
-2, 3
Let a(q) be the third derivative of 0*q + 2/105*q**7 + 0*q**3 + 60*q**2 + 1/504*q**8 + 0*q**4 + 1/36*q**6 + 0*q**5 + 0. Factor a(i).
2*i**3*(i + 1)*(i + 5)/3
Let m = 217 - 220. Let h(a) = -2*a**4 - 3*a**3 + 15*a + 15. Let s(y) = -y**4 + y**3 - y - 1. Let p(x) = m*s(x) + 3*h(x). Factor p(k).
-3*(k - 2)*(k + 2)**3
Let k(i) be the third derivative of -i**8/840 - i**7/175 + 7*i**6/50 + 86*i**5/75 + 14*i**4/5 + 1391*i**2. Determine g so that k(g) = 0.
-6, -2, 0, 7
Let g(v) be the third derivative of -v**5/20 - 1115*v**4/8 + 558*v**3 + 320*v**2 - 6*v + 2. Factor g(c).
-3*(c - 1)*(c + 1116)
Find n such that -2*n**2 + 12/5*n + 0 + 2/5*n**4 - 4/5*n**3 = 0.
-2, 0, 1, 3
Let b be (-56)/22 - 60/(-110) - (59 + -66). Solve -16/17*r**2 + 2/17*r**b + 4/17*r**3 + 10/17*r**4 + 0*r + 0 = 0 for r.
-4, -2, 0, 1
Let j be ((-1)/5)/(11/(-286))*1040/48. Let -1/6*h**3 + 0 - j*h - 26/3*h**2 = 0. Calculate h.
-26, 0
Suppose b - i - 3 = 0, 77954*i - 77958*i = 0. Determine m so that 68/5*m + 4/5*m**b + 72/5*m**2 + 0 = 0.
-17, -1, 0
Let y(s) be the first derivative of 7*s**2/2 - 35*s + 8. Let c be y(11). Factor -65*h**2 - 3*h**3 + 12*h - h**3 - 6*h**3 - c*h.
-5*h*(h + 6)*(2*h + 1)
Let s(j) be the first derivative of 176*j**2 + 7744*j + 4/3*j**3 + 94. Find h, given that s(h) = 0.
-44
Let d(f) be the first derivative of -5*f**4/4 - 80*f**3/3 - 120*f**2 + 2011. What is j in d(j) = 0?
-12, -4, 0
Factor 3/7*j**3 - 12/7*j**2 - 3*j + 30/7.
3*(j - 5)*(j - 1)*(j + 2)/7
Let h(q) be the first derivative of 53 + 146/3*q**3 - 3/2*q**4 - 96*q**2 + 72*q - 18/5*q**5 - 1/3*q**6. Find g, given that h(g) = 0.
-6, 1
What is r in 1459*r**2 - 1345*r**2 - 143*r**3 - r**4 + 4*r**4 + 26*r**3 = 0?
0, 1, 38
Factor 14/5*c - 1/5*c**2 - 48/5.
-(c - 8)*(c - 6)/5
Let z(s) be the first derivative of -s**5/5 - 5*s**4/4 - 2*s**3 + 658. Factor z(j).
-j**2*(j + 2)*(j + 3)
Let g = -1994/35 + 2078/35. Factor 3/5*r**2 + g - 3*r.
3*(r - 4)*(r - 1)/5
Let i = -7122614/15 + 474844. Find h such that i - 2/15*h**2 + 44/15*h = 0.
-1, 23
Let m be 36920/396 + (-18)/(-33). Let a = 94 - m. Factor -2*y**2 + a*y**3 - 14/9 + 10/3*y.
2*(y - 7)*(y - 1)**2/9
Let y(w) = -30*w - 54. Let s(t) = -t**2 + 59*t + 108. Suppose -14 = 149*o - 147*o. Let l(b) = o*y(b) - 3*s(b). Find x such that l(x) = 0.
-9, -2
Suppose -19*n = -5*v - 113, 4*n - 5*n - 13 = -5*v. Factor -14/3*r - v - 2/3*r**2.
-2*(r + 1)*(r + 6)/3
Suppose -14 = -2*v + 4*c, v - c - 2 - 7 = 0. Factor -v + 6 + 11 - 3*s - 3*s**2.
-3*(s - 1)*(s + 2)
Let p(g) = 11*g - 542. Let r be p(48). Let w be (35/r)/(2/(-40)). Factor 40 - w*h - 5/2*h**3 + 20*h**2.
-5*(h - 4)*(h - 2)**2/2
Let m(n) be the second derivative of n**6/30 - 24*n**5/5 - n**4/4 + 145*n**3/3 - 96*n**2 - 14*n + 18. Factor m(j).
(j - 96)*(j - 1)**2*(j + 2)
Let m(h) be the third derivative of -h**7/6300 + 7*h**6/1800 + 3*h**5/50 - 37*h**4/12 + 11*h**2 - 3. Let u(v) be the second derivative of m(v). Factor u(g).
-2*(g - 9)*(g + 2)/5
Let w(n) be the second derivative of 0*n**2 + 78*n - 8/189*n**7 + 0*n**3 - 7/90*n**5 - 14/135*n**6 - 1/54*n**4 + 0. Let w(a) = 0. What is a?
-1, -1/2, -1/4, 0
Let m(o) be the second derivative of o**4/9 - 5068*o**3/3 + 9631734*o**2 + 445*o + 2. Let m(k) = 0. Calculate k.
3801
Suppose 0 + x**5 - 12*x**3 - 32/3*x - 24*x**2 + 2/3*x**4 = 0. Calculate x.
-2, -2/3, 0, 4
Let t(u) be the second derivative of -1089*u**5/5 - 1034*u**4 - 4088*u**3/3 - 784*u**2 - 5*u + 464. Let t(j) = 0. What is j?
-2, -14/33
Let l(f) = -f + 4. Let n be l(-7). Let p(i) = -i + 14. Let w be p(n). Solve 5*a - 18*a**3 - 1 + 16*a**w + a**4 - 3*a = 0.
-1, 1
Factor 31271 + 111613 - 14417*l**2 + 1526*l - 14*l + 14421*l**2.
4*(l + 189)**2
Factor -632/3*s**2 + 1270/3*s - 212 - 2/3*s**3.
-2*(s - 1)**2*(s + 318)/3
Let y(l) be the third derivative of 231*l**2 - 20/21*l**4 + 0 - 8/21*l**3 + 0*l - 19/105*l**5. Let y(u) = 0. Calculate u.
-2, -2/19
Let w(d) be the first derivative of d**3/3 + 155*d**2/2 - 156*d + 1145. Solve w(r) = 0 for r.
-156, 1
Let r(z) be the second derivative of -67*z + 0 - 12*z**2 - 21/2*z**4 + 1/3*z**6 - 9/5*z**5 - 52/3*z**3. Suppose r(a) = 0. What is a?
-1, -2/5, 6
Let p(w) be the second derivative of w**6/40 + w**5/10 + 56*w**2 + 23*w + 2. Let g(o) be the first derivative of p(o). Factor g(n).
3*n**2*(n + 2)
Let c(p) be the first derivative of -3/16*p**4 + 15/8*p**2 - 9/2*p + 1/2*p**3 + 11. Factor c(m).
-3*(m - 3)*(m - 1)*(m + 2)/4
Let b(i) = -39*i**3 - 683*i**2 - 10096*i - 49928. Let p(v) = -220*v**3 - 3870*v**2 - 57210*v - 282925. Let x(o) = 45*b(o) - 8*p(o). Factor x(g).
5*(g + 13)*(g + 16)**2
Let j = 14486 - 159138/11. Suppose 560/11*n**2 + 2/11*n**5 + 672/11*n + 34/11*n**4 + 288/11 + j*n**3 = 0. What is n?
-6, -2, -1
Let i(z) be the third derivative of z**6/420 - z**5/30 + z**4/14 - 616*z**2. Factor i(o).
2*o*(o - 6)*(o - 1)/7
Let p = 5329/3 + -21307/12. Factor -3/4 - 3/2*k - p*k**2.
-3*(k + 1)**2/4
Suppose 34*j - 23*j - 1562 = 0. Factor 80 + 27*l**2 - l - j*l**2 - 14*l + 15*l**3 - 35*l.
5*(l - 8)*(l + 1)*(3*l - 2)
Let w(o) be the first derivative of -o**4/6 + 20*o**3 - 900*o**2 - 54*o - 101. Let l(b) be the first derivative of w(b). Factor l(d).
-2*(d - 30)**2
Let c(p) = -64*p + 1. Let y be c(-1). Suppose -6*q + 69*q**2 + y*q**2 - 194*q**2 + 63*q**2 = 0. What is q?
0, 2
Let g(l) be the second derivative of 0 + 5/9*l**3 - 13/36*l**4 + 2/3*l**2 + 75*l + 7/120*l**5. Determine m, given that g(m) = 0.
-2/7, 2
Suppose 49*i = 48*i + 4*v - 17, -4*i - 2*v = -22. Solve -8/5*n + 2/5*n**i + 8/5*n**2 - 32/5 = 0 for n.
-4, -2, 2
Let y(r) be the third derivative of -r**5/150 + 587*r**4/60 + 196*r**3/5 + 9287*r**2. Solve y(m) = 0.
-1, 588
Let c be (4 - 1)*((-1595)/33 + -16). Let n = c - -196. Suppose 3/4*o**2 + 1/2*o - 3*o**n + 7/4*o**4 + 0 = 0. What is o?
-2/7, 0, 1
Let l(t) = -t**3 + 10*t**2 + 2*t + 4. Let f be l(10). Suppose 5*o + 4 = f. Factor y**3 - 3*y**2 - 10*y + o*y + 0*y**2 + 2*y**3.
3*y*(y - 2)*(y + 1)
Let d(o) = -13*o**2 + 133*o - 117. Let v(t) = -120*t**2 + 1200*t - 1054. Let p(f) = 52*d(f) - 6*v(f). Solve p(c) = 0 for c.
1, 60/11
Let c(s) be the second derivative of s**6/180 + s**5/15 + s**4/3 + 5*s**3/2 - s**2/2 - 4*s + 13. Let u(w) be the second derivative of c(w). Factor u(z).
2*(z + 2)**2
Let i = 1433 + -1429. Let m(z) be the first derivative of -16/27*z**3 + 10/9*z**2 - 8/9*z + 1/9*z**4 + i. Suppose m(h) = 0. Calculate h.
1, 2
Let k(o) = 4*o**4 - 248*o**3 + 447*o**2 + 684*o. Let r(h) = 8*h**4 - 500*h**3 + 895*h**2 + 1368*h. Let m(d) = 7*k(d) - 3*r(d). Suppose m(y) = 0. Calculate y.
-1, 0, 3, 57
Let y be (-6)/189 - (683150/12600 + -78). Suppose y*x - 45/2 - 5/4*x**2 = 0. Calculate x.
1, 18
Let o(w) be the second derivative of -7*w**5/40 - 128*w**4/3 + 977*w**3/3 + 300*w**2 + 6102*w. Factor o(r).
-(r - 4)*(r + 150)*(7*r + 2)/2
Factor 355 - 116*g + 3*g**2 - 100*g - 56 + 207 + 115.
3*(g - 69)*(g - 3)
Suppose -1 + 5 + 0 - 4 = 211*b. Let 0*x**2 - 81/4*x**3 + b*x + 0 - 3/4*x**4 = 0. What is x?
-27, 0
Let r(o) = -39*o**2 - 68*o - 1158. Let c(u) = 19*u**2 + 1. Let i(w) = -2*c(w) - r(w). Factor i(v).
(v + 34)**2
Let d(x) be the third derivative of -x**6/60 - 19*x**5/30 + x**4/12 + 19*x**3/3 - 4*x**2 - 75*x. Factor d(t).
-2*(t - 1)*(t + 1)*(t + 19)
Let m(q) be the second derivative of 1/60*q**6 - 13*q - 3/2*q**3 - 2*q**2 + 0*q**5 - 11/24*q**4 + 0. Determine c so that m(c) = 0.
-2, -1, 4
Suppose -p - p - 4*y = -12, 0 = -4*p - 2*y + 12. Suppose -p*a = -0*a - 20. Suppose 51*f**5 - 8*f**4 - a*f**3 + 2*f**3 - 53*f**5 = 0. Calculate f.
-2, 0
Suppose -30*k = -142 - 8. Let o(c) = -18*c**2 + 15*c + 7. Let t(n) = -7*n**2 + 7*n + 4. Let p(l) = k*t(l) - 2*o(l). Find m, given that p(m) = 0.
-3, -2
Let x = -13086 + 104709/8. Let k(s) be the first derivative of -7 - 45/4*s**2 - x*s**4 - 9*s**3